Discussion
Two such stages in cascade, ignoring loading, give
Answer: B
Decibel gains add:
\[ 40 + 40 = 80 \ \mathrm{dB} \]
which is 80 dB, a voltage ratio of ten thousand. Forty decibels is the answer only if the two gains are read as a ratio and multiplied instead, and 1600 dB comes from multiplying the decibel figures themselves, which is never a meaningful operation. Loading between the stages will reduce the real figure, often by six decibels a stage. That gains multiply as ratios and add as decibels is exactly why the logarithmic unit is used for cascades in the first place.
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